Answer:
g(x)=(x+3)2 we must find x? so x+3=0 x=-3 we transformation -3 on left
Step-by-step explanation:
can u answer my queston pleas on my acc
The transformations applied to f(x)=x² to form g(x)=3(x+2)² −1 are: Horizontal shift left by 2 units.
Vertical stretch by a factor of 3.
Vertical shift down by 1 unit.
To transform the graph of f(x)=x² into g(x)=3(x+2)² −1, we can identify a series of transformations that have been applied to the original function.
The term (x+2)² inside the function g(x) indicates a horizontal shift to the left by 2 units compared to f(x).
This is a shift in the negative direction on the x-axis.
The coefficient 3 in front of (x+2)² indicates that the graph is vertically stretched by a factor of 3 compared to the graph of f(x).
The term −1 subtracted at the end of the function g(x) indicates a vertical shift downward by 1 unit compared to f(x).
This is a shift in the negative direction on the y-axis.
Hence, the transformations applied to f(x)=x² to obtain g(x)=3(x+2)² −1 are horizontal shift to the left by 2 units, vertical stretch by a factor of 3 and vertical shift downward by 1 unit.
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Michael earned the following test scores: 77, 80, 82, 99, 91, 80, 80 which two measures for this data set are closest in value? median, mode mode, mean mean, median mode, range
Answer:
mode and median
Step-by-step explanation:
both are 80
mode - value that appears most often
median- list values lowest to highest find the value in the middle position
1.5 billion seconds in scientific notations
Answer:
1.2378×104
Step-by-step explanation:
The number 10 is called the base because it is this number that is raised to the power n. Although a base number may have values other than 10, the base number in scientific notation is always 10.
can someone help me please
Answer:
1) 125
2) 113
Step-by-step explanation:
Hope it helps :)
Answer:
x = 70°
Step-by-step explanation:
Since in triangle ABC (Check the image)
=> AB = AC
Therefore, ∠B = ∠C
From Angle Sum property of a triangle,
=> ∠A + ∠B + ∠C = 180°
=> x + 55 + 55 = 180
=> x +110 = 180
=> x = 70°
Hope you've understood the solution.
please i rellay need help
Answer:
The length of AC is 12.08cm
Step-by-step explanation:
hope it's help
;)
Answer:
see photo for detailed analysis
A tunnel on a bike trail is being designed similar to the picture below. The height of the new bike tunnel, y, in feet, is given by the following equation, where x is the horizontal distance, in feet, from the center line of the opening of the tunnel. Note that negative x-values indicate the distance to the left of the center line, and positive x-values indicate the distance to the right of the center line. Plot the points on the graph where the height of the tunnel is a maximum and where the height of the tunnel is zero feet.
we have that
[tex]y=-x^2+36[/tex]
we know that
Is the equation of a vertical parabola open down
so
the vertex is a maximum
step 1
convert the equation of the parabola in the vertex form
[tex]y=-x^2+36[/tex]
[tex]y-36=-x^2[/tex]
the vertex (h,k) is the point (0,36)
Part a) The point on the graph where the height of the tunnel is a maximum is (0,36)
Part b) The points on the graph where the height of the tunnel is zero feet is when y=0
so
for y=0
[tex]-x^2+36=0[/tex]
[tex]x^2=36[/tex]
[tex]x=(+/-)6[/tex]
the points are (-6,0) and (6,0)
see the attached figure
Answer:
Step-by-step explanation:
Which expression is equivalent to
3 7/8 - 6 1/4
Answer:
C [tex]3 \frac{7}{8} + (-6\frac{1}{4})[/tex]
Step-by-step explanation:
+ × - = -
Example:
5 × -3 = -15
+(-5) = -5
then:
3 7/8 - 6 1/4
= 3 7/8 + (-6 1/4)
Which table describes a function?
Answer:
A function table
Step-by-step explanation:
Hope this helped
Andrew can complete a job by himself in 20 minutes. if aijalon helps him, they can complete the job in 12 minutes. how long would it take aijalon to complete the job by himself? (in minutes.) rate of work problem
Answer:
30 min
Step-by-step explanation:
1 / ( 1/20 + 1/ x) = 12
1 = 12/20 + 12/x
8/20 = 12/x
x = 12 * 20 / 8 = 30 min
geometry
help please
The angle m∠UVW can be found using angle of circumference rule in geometry. Therefore, m∠UVW = 67°
Angle on a circumferenceAn angle at the circumference of a circle is half the angle at the centre standing on the same arc.
In other words, the angle at the centre of a circle is twice the angle at the circumference.
Therefore,
m∠UVW = 134 / 2
m∠UVW = 67 degrees
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Answers is easy it's a 4th grade answer
Answer: Hope this helps
Step-by-step explanation:
The equation of a line is y = –4x + 1. What is the equation of the line that is parallel to the first line and passes through (–2, –1)?
y = -4x - 1
the gradient of the parallel line will be the same as the given line so you just need to change the y intercept
Helpppppppppppp pleasee!!!!!!
Answer:
C, Negative x coordinates, positive y coordinates.
Step-by-step explanation:
Note that the original points are all in the third quadrant, i.e., sign will be (-,-). When reflected across the x axis, the y coordinate becomes negative => (x,-y) => (-,-) becomes (-,+)
Answer: D. Negative-x and Negative-y
Step-by-step explanation: quadrant one are both positive quadrant 2 is positive and negative. Quadrant 3 is negative and negative and quadrant 4 is negative and positive.
PLEASE I AM HAVING A PANIC ATTACK OVER THIS PLEASE!!!!!!!!!!
Answer:
the answer is c
Step-by-step explanation:
I already did that
Answer:
C that's the answer
no explanation I'm jus saying
y = 6 - x; (-3,3)
is it a solution?
Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the functions based on their axis of symmetry (from smallest to largest).
f(x) g(x) h(x)
f(x) = -2(x − 4)2 + 2 g(x) = 5x2 − 10x + 7 graph of negative 1 times the quantity of x plus 2 squared, plus 2
Answer:
h(x), g(x), f(x)
Step-by-step explanation:
The axis of symmetry of a parabola is the vertical line through its vertex.
__
f(x)The equation is written in vertex form:
f(x) = a(x -h)² +k . . . . . vertex (h, k), scale factor 'a'
The vertical line through the vertex is x=h.
Your equation is ...
f(x) = -2(x -4) +2
so (h, k) = (4, 2) and the line of symmetry is x=4.
__
g(x)The given equation can be written in vertex form:
g(x) = 5x² -10x +7
g(x) = 5(x² -2x) +7
g(x) = 5(x² -2x +1) +7 -5 . . . . complete the square
g(x) = 5(x -1)² +2
so (h, k) = (1, 2) and the line of symmetry is x=1.
__
h(x)Your problem statement tells us ...
h(x) = -(x +2)² +2
so (h, k) = (-2, 2) and the line of symmetry is x=-2.
The coordinates of the vertex can also be read from the graph: (-2, 2).
__
orderThe rank of the functions is the order of {-2, 1, 4}, or h(x), g(x), f(x).
Please help me on this!
Answer:
The original value of the car.
Step-by-step explanation:
The 21,500 would be the a value of the function, as it is before the parentheses. The a value of an exponential function is a constant, and it is the y-intercept of that function, meaning in a real-world application, it would be where the values start at. In this case, the 21,500 is where the price of the car starts at, i.e., the original value of the car.
Which number is an outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
options:
31
23
34
7
Answer:
i say 7
Step-by-step explanation:
Identify the bases and faces, and then the name of the given figure.
pentagon; triangles; pentagonal pyramid
heptagon; triangles; heptagonal pyramid
pentagon; rectangles; pentagonal prism
heptagon; rectangles; heptagonal prism
Answer:
heptagon; rectangles; heptagonal prism
Step-by-step explanation:
Since the base is a heptagon (hepta- is seven sides), that gets rid of both the pentagon answers. Since the sides are all rectangles, that gets rid of the Heptagon and Triangles answer. :)
What is NOT a way to write 52 + 80?
50 + 2 + 80
B
(50 + 80) + 2
C.
50 + 80 + 2 + 8
D.
50 + 2 + 80 + 0
Answer:
C. 50 + 80 + 2 + 8
Step-by-step explanation:
this would give you an answer 8 greater then the original equation 52+80
(8b+7) + (2b-9) simplify
Answer:
Step-by-step explanation:
10b + -2
or
10b - 2
8b + 2b = 10b
7 - 9 (or 9 - 7, which equals 2) = -2
you can add -2 which is
10b + -2
or subtract
10b - 2
Answer:
10b-2
Step-by-step explanation:
8b+2b is 10b. Then 7+(-9) is -2. Combine the answer to get 10b-2
Use the quadratic formula to solve for x.
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
7)
What is the average rate of
change for f (x) = -2% + 70 over the interval 2 = X = 6?
A)
-15
O0
-16
-30
D)
-32
Answer:
A
Step-by-step explanation:
Here [ a, b ] = [ 2, 6 ], thus
f(b) = f(6) = - + 70 = - 64 + 70 = 6
f(a) = f(2) = - 2² + 70 = - 4 + 70 = 66
average rate of change = = = - 15 → A
What is the sum of the angles in the image?
A.66°
B.86°
C.76°
D.50
Answer: 76 degrees
Step-by-step explanation: 63 + 13 = 76
don’t mind this my question has to be at least 20 characters long
Answer:
B. The equation of the linear function is y = 3x + 2
D. The rate of change of the linear function is 3.
Step-by-step explanation:
First find the slope by choosing two ordered pairs and using the slope formula:
[tex]\textsf{let}\:(x_1,y_1)=(2,8)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(3,11)[/tex]
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{11-8}{3-2}=3[/tex]
Now use the Point-slope form of linear equation with the found slope and one of the points to create the equation of the linear function:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]\implies y-8=3(x-2)[/tex]
[tex]\implies y=3x + 2[/tex]
The rate of change of a linear function is its slope.
Therefore,
B. The equation of the linear function is y = 3x + 2
D. The rate of change of the linear function is 3.
can someone help me out with this problem please? Thank you!
Answer:
18.84
Step-by-step explanation:
The diameter is 2 times the radius, so just multiply 6 by 3.14
please mark brainliest ( :
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's calculate the circumference ~
[tex]\qquad \sf \dashrightarrow \: c = \pi d[/tex]
where, d = 2r = 2 × 3 = 6 ft[tex]\qquad \sf \dashrightarrow \: c = 3.14 \times 6[/tex]
[tex]\qquad \sf \dashrightarrow \: c =18.84 \: ft[/tex]
Question content area top
Part 1
A fair coin is tossed three times in succession. The sample space is shown, where H represents a head and T represents a tail. Find the probability of getting exactly one head .
-). Express the logarithm in terms of In 3 and In 7.
2401
In
81
Photo attached
Answer:
The correct option is C. if you express the problem in terms of ㏑ three and seven.
What is the nth term rule of the quadratic sequence below?
4
,
6
,
10
,
16
,
24
,
34
,
46
,
.
.
.
Answer:
4+(n-1)2
Step-by-step explanation:
Because its an arithmatic series for which the formula is
n-term=first term+(n-1)d.
where "d" is the common difference.
Enter the value of n so that the expression 2/5x-1/2 is equivalent to n(4x-5)
Please Help!
[tex]~~~~~~~\dfrac 25 x - \dfrac 12= n(4x-5)\\\\\\ \implies \dfrac{4x}{10}- \dfrac{5}{10} = n(4x-5)\\\\\\\ \implies \dfrac 1{10}(4x-5) = n(4x-5)\\\\\\\implies n = \dfrac 1{10}~~~~~;\left[x \neq \dfrac 54 \right][/tex]
A Girl Guide measured the angle of elevation to the top of a monument to be 59°. The height of the monument is 38.5 m. She
then walked 31.0 m farther away from the tower. Determine the angle of elevation to the top of the monument from her new
location, to the nearest tenth of a degree.
The angle of elevation is 35.4.
What is angle of elevation?The angle formed by the line of sight and the horizontal plane for an object above the horizontal.
tan D = AB/BD
tan D = 38.5/54.13
D = 35.4
Hence, the angle of elevation is 35.4.
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